Y. H. Kuo
The problem of the subsonic flow through a pipe of a general section has been treated by the method of series development in ascending even power of Mach number. Zero approximation is Hagen-Poiseuille motion. The solution of the equation for the first and second approximations are all reduced to the problem of Dirichlet and the bi-harmonic problem with specified boundary conditions. The method has been applied to the case of a pipe of circular section for which explicit solutions have been obtained.
The paper was written while the author held a Sino-British Indemnity Fund Scholarship in the Department of Applied Mathematics at the University of Toronto. He wishes to take this opportunity to express his gratitude to Professor J. L. Synge for suggesting the problem and for his constant guidance in the course of the work.
可压缩粘性流体通过直管的流动
郭永怀
用以马赫数偶次升幂级数展开方法研究了亚声速流通过一般管道的流动问题，其零阶近似就是哈根-泊肖叶流动。一阶和二阶近似方程的求解都化成有特定边界条件的狄里赫莱问题或双调和问题。该方法已经被用来研究圆截面管道中的流动并获得了显式解。
作者在中英Idemnity基金的奖学金资助期间在多伦多大学应用数学系撰写本文，辛格教授建议了题目，并在工作过程中经常给予指导，为此，作者在此向他表示感谢。
原文发表于Journal of Mathematics and Physics, 1943, 22: 13-30. 见《郭永怀文集》北京：科学出版社出版，pp. 4-21, 2009.
